Question

Find the distance of centre of mass of the uniform rod of length
if it is bent
into circular arc of radius R from the centre C as shown.
(A)
(B) 3R
20
a la
(D)R

Answer 1

Explanation:

A uniform rod of length πr/3 is bent into circular arc as shown in figure

circumference of circular ring of rod = 2πR

where R is radius of circular ring of rod.

given, length of rod = πr/3 = circumference

so, πr/3 = 2πR

R = r/6

hence, distance of centre of a uniform rod of Length πr/3 if it is bent into circular arc is r/6.